A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below. Suppose the total cost of the sheet steel was $8384. How much did the sheet steel cost per square meter?

Answers

Answer 1

Answer:

$ 42.78

Step-by-step explanation:

See attachment for the figure

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

Given:

The length of the base 'l' = 9 m

The width of the base 'w'= 5 m

The height of the prism 'h'= 7 m

perimeter of the base can be determined by

Perimeter of base = 2(l  + w ) =>2(9 + 5)

Perimeter of base = 28 m

By using the formula of the lateral area

LA = 28 × 7

LA = 196 m²

Required:

sheet steel cost per square meter=?

Given: The total cost of the sheet steel was $8384

            LA =  196 m²

By Dividing the cost by the lateral area, we'll know our unit cost

therefore, The unit cost = 8384 ÷ 196

The unit cost =$ 42.78

The sheet steel costed $42.78 per square meter

A Company Made A Storage Container With Sheet Steel Walls. The Container Was In The Shape Of A Rectangular

Related Questions

Dan and Luck are running in a 20 mile charity benefit race. If Dan runs at 3 mph and Luke runs at 4 mph, how long until their total mileage equals 20 miles?

Answers

Answer:

one-fifth of $1,000 is $200; a donation of $30 per charity results in a total of $240 in  1. 32 1/2 2. 30 3.  Dan went first and dug 1/9 of the total distance early the next morning.

Step-by-step explanation:

Solve the following linear system of equations using substitution.

y = 3x - 5
y = 2x - 6


A. (3,2)
B. (-5,-6)
C. (-1,-8)
D. (1,-2)

Answers

Answer:

Step-by-step explanation:

since both equations are equal to the same thing, y, they are therefore equal to each other

so:

[tex]3x-5=2x-6\\x-5=-6\\x=-1\\[/tex]

substitute x, -1,  into either equation to solve for y

[tex]y=3(-1)-5\\y=-3-5\\y=-8[/tex]

or

[tex]y=2(-1)-6\\y=-2-6\\y=-8[/tex]

Therefore, the solution is (-1,-8)

After solving the equations by substitution method the value of x is -1 and the value of y is -8. Hence, option C is correct.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation from the question,

y = 3x -5   (i)

y = 2x - 6  (ii)

Compare both equations,

3x - 5 = 2x - 6

3x -2x = -6 + 5

x = -1

Substitute x = -1 in equation (i)

y = 3 (-1) - 5

y = -8.

Therefore, both the values are (-1, -8).

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Need help on 3/4 please help me fast please read it and help me !!!!!!!!!fast!!!!!!!

Answers

Answers and Step-by-step explanations:

3. When we have congruent triangles, the corresponding sides are the same. Here, we know that ABC is congruent to DEC and since ED and AB are corresponding sides (my assumption), then they are equal. Set them equal:

4y + 2 = 6y - 4

2y = 6

y = 3

Plug this back into the equation for AB:

6 * 3 - 4 = 18 - 4 = 14

So, AB is 14 units.

4. Congruent triangles also have congruent corresponding angles. Here, angles ACB and DEF are congruent, while angles BAC and EDF are congruent. So, set them equal:

3y = 42

and

87 = 5x + 2

Then, y = 42/3 = 14 and x = (87 - 2)/5 = 85/5 = 13.

x = 13, y = 14

Hope this helps!

Answer:

1. x = 31

2. 74

3. 14

4. x = y = 17

Step-by-step explanation:

1. AB = JK

2x + 12 = 4x - 50

2x = 62

x = 31

2. 2(31) + 12 = 74

3. DE = AB

4y + 2 = 6y - 4

2y = 6

y = 3

AB = 6(3) - 4 = 14

4. Angle D = Angle A

5x + 2 = 87

5x = 85

x = 17

Angle C = Angle F

Angle F = 180 - 87 - 42 = 51

3y = 51

y = 17

Solve for d.
4d - 4 = 5d - 8

Answers

Answer:

Step-by-step explanation:

4d-4=5d-8

add 4 to both sides

4d=5d-4

subtract 5d from both sides

-d=-4

switch so d is positive

d=4

Answer: d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

     +8         +8    (Add 8 to both sides)

4d + 4 = 5d

-4d        -4d       (Subtract 4d from both side)

d= 4

Find the scale factor of figure A to Figure B.

Answers

Answer:

Step-by-step explanation:

The scale factor from figure a to figure b would be 1/16 i believe.

Correct me if im wrong

The scale factor of figure A to figure B is 5/9.

In the given figure, A and B are similar triangles.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Here, 20/36

= 5/9

= 14/25.2

= 2/3.6

= 5/9

Hence, the scale factor of figure A to figure B is 5/9.

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*WILL MAKE BRAINLIEST*

which statement about these triangles is true?


a) The dilation is an enlargement.

b) The dilation is a reduction.

c) It is not a dilation.

d) There is not enough information.​

Answers

Answer:

Not sure, but I would put A

Step-by-step explanation:



a) The dilation is an enlargement

The inverse of G(x) is a function.
A. True
B. False

Answers

Answer:

this is false

Step-by-step explanation:

lines that curve can function but if the line that curves hit say "the y is twice it is not a function it is only a function if it does not hit a line twice" this isnt a function because it hits the y axis twice.  

factor the term 20x^6​

Answers

Step-by-step explanation:

[tex] {20x}^{6} \\ = 2 \times 2 \times 5 \times x \times x \times x \times x \times x \times x[/tex]

hey Emma your answer is here

i am having a hard time with this page if someone can help me i will appreciate it a lot!!

Answers

Answer:

#1 is It could be another girl or it could be a boy

#2 is Its could be another boy or it could be a girl.

The diagram should look like this:

BB. BG

GB GG

#4 is 4

#5 is 1

#6 is there is 1/2 a change the baby can be a girl and a 1/2 change the baby can be a boy. For both of them to be girls; it would be 1/4 chance.

Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain. Yes, the distance from (3, 0) to (0, 0) is 3 units. Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units. No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units. No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

please!!!!

Answers

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

what goes in the blanks

Answers

Step-by-step explanation:

2x² + x - 28

= 2x² + ( 8 - 7)x - 28

= 2x² + 8x - 7x - 28

= 2x ( x + 4) - 7( x + 4)

= (x + 4) (2x - 7)

Hope it will help you :)

Four graphs are shown below:


Which graph best shows the line of best fit?

Graph A
Graph B
Graph C
Graph D

Answers

The answer is Graph
A because all the dots line up perfectly

Caffeine leaves a child's body at a rate of 15 % per hour . A child drinks a beverage containing How long until half the caffiene is gone ?

Answers

Answer:

6.6 HOURS!

Step-by-step explanation:

Hope this helps!

:D:D:D:D

Which number is equivalent to -(-2)?

Answers

Answer:

2

Step-by-step explanation:

negative times a negative is a positive

Final answer:

In mathematics, a double negative gives a positive result. Therefore, -(-2) equals 2, so the number equivalent to -(-2) is 2.

Explanation:

In Mathematics domain, the double negative rule states that the 'negative of a negative is a positive'. It suggests that if you have two negative signs, one turns the other into a positive. So, -(-2) is equals to +2. In simpler terms, if you have a negative number and you negate it, you get the positive version of that number. Therefore, the number that is equivalent to -(-2) is 2

.

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Y = 3x +5
Y = 4x - 2
What is Y?

Answers

x is 6 and y is 23 :)

Which type of correlation would you expect between a city's monthly temperature averages and precipitation totals? Why?
A)-1; strong negative correlation between the monthly temperature averages and the amount of precipitation.
B)0; relatively no correlation.
C).98; strong positive correlation between the monthly temperature and the amount of precipitation
D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation

Answers

Answer:

B) 0; relatively no correlation.

Step-by-step explanation:

Data tends to not be collinear

The correct statement is,

D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We get;

Based on the general understanding of climate trends, the correct correlation between a city's monthly temperature averages and precipitation totals would be;

strong positive correlation between the monthly temperature averages and the amount of precipitation.

because in warmer months, the air can hold more moisture, leading to more precipitation. In colder months, there is less moisture in the air, leading to less precipitation.

Thus, as the temperature increases, so does the amount of precipitation, resulting in a strong positive correlation.

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PLEASE PLEASE PLEASE HELP!!!!!!!

Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 5, y = 6

Step-by-step explanation:

When you put these values in for x and y, the corresponding sides are congruent, also making the triangles congruent by the Hypotenuse-Leg Theorem.

I hope this helps! ☺

Which of these four sets of side lengths will form a right triangle? Set 1 6 cm, 7 cm, StartRoot 12 EndRoot cm Set 2 8 in., StartRoot 29 EndRoot in., StartRoot 35 EndRoot in. Set 3 StartRoot 3 EndRoot mm, 4 mm, StartRoot 5 EndRoot mm Set 4 9 ft, StartRoot 26 EndRoot ft, 6 ft Set 1 Set 2 Set 3 Set 4

Answers

Answer:

16 cm,7cm, start root 12.

15 subtracted from the product of a number and 4 is -59. Just write equation do not solve please

Answers

Answer:

15-x+4=-59

Step-by-step explanation:

The equation of 15 subtracted from the product of a number and 4 is -59 is 4x - 15 = -59.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 15 is subtracted from the product of a number and 4 is -59. The expression will be written by assuming that the unknown number is x.

The expression is written as,

4x - 15 = -59

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Which equation could be used to solve for the length of
XY?
OXY = (22)sin(41°)
O XY = (22)cos(419)
OXY = 22.
cos(41°)
O XY = 22
sin( 41°)

Answers

The expressions used to find XY is XY = 22/sin(41)

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given triangle XYZ with side XY as the hypotenuse. Hence using trigonometric ratios:

sin(41) = 22 / XY

Making XY the subject of the equation:

XY = 22/sin(41)

The expressions used to find XY is XY = 22/sin(41)

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Answer:

D. XY = 22/ (sin) 41

Step-by-step explanation:

I did it on edge

When you declare a function?






Answers

Answer:

It is always recommended to declare a function before its use so that we don't see any surprises when the program is run

Step-by-step explanation:

Timmy drew a triangle that had a 95 degree angle and no congruent sides

Answers

Answer:

obtuse scalene triangle

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Timmy drew a triangle with no cogruent sides and a 95° angle. Classify the triangle by the lengths of its sides and measures of its angles. Explain

My answer:

As we know that, the sum of 3 internal angles on a triangle is 180° . In the question, Timmy drew a triangle that had a 95 degree it means that sum of the other two angles is:

180° - 95° = 85 °  

Futhurmore,  no congruent sides

So his angle will be obtuse scalene triangle, you can have a look at the attached photo

Consider the exponential function f(x) = 2(3)x and its
graph.

Answers

Answer:

initial value = 2

base = 3

this function is exponential growth

Step-by-step explanation:

The formula for exponential functions is [tex]f(x) = ab^{x}[/tex]

a = initial value

b = the constant/change factor/fixed base value

x = independent variable

if the function approaches (∞ , ∞) it is positive

Round to the nearest hundredth 4.644

Answers

Answer:

4.64

Step-by-step explanation:

the number that comes after the hundreth place(4) is less than 5 so you keep all of the other numbers the same

it's 4.64 bc it's less than 5 so it stays the same

The scale of a map is 1 inch : 10 miles. On the map, Main Street is 0.6 inch long. What is the actual length of Main Street?


A. 6 in.

B. 60 in.

C. 6 mi.

D. 60 mi.

Answers

Answer:

option C. 6 mi.

Step-by-step explanation:

Please can some explain how to identify angles that on the same segment? ​

Answers

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

can someone help me? 3 2/5 - 1 4/5=?​

Answers

17/5-9/5 —> 17-9/5 ——> 8/5 (FINAL ANSWER)

New car sales for $25,000 the value of the car decreases by 15% each year what is the approximate value of the car five years after it is purchased

Answers

Answer:

approximately $18,984

Step-by-step explanation:

so 15% multiplied by 5 is 75%

25,000 multiplied by .75 is 18,750

Can someone please help me on this simple geometry question

Answers

Answer:

x=7

Step-by-step explanation:

The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.

To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives  you 7.

1) Minus 104 from 180.

[tex]180-104=76[/tex]

2) Multiply 25 by 2.

[tex]25*2=50[/tex]

3) Add 50 to 76.

[tex]50+76=126[/tex]

4) Multiply 9 by 2.

[tex]9*2=18[/tex]

5) Divide 126 by 18.

[tex]126/18=7[/tex]

6) [tex]x=7[/tex]

Answer Checking:

To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.

1) Multiply 7 by 18.

[tex]7*18=126[/tex]

2) Minus 50 from 126.

[tex]126-50=76[/tex]

3) Add 104 to 76.

[tex]104+76=180[/tex]

Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.

Alice has two flying disks. One is 12 cm in a diameter and the other is 24 cm in diameter. What is the difference in cubic centimeters between the areas of the two flying disks? Can someone please explain it to me, I need help!

Answers

Final answer:

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

Explanation:

To find the difference in cubic centimeters between the areas of the two flying disks, we need to calculate the volumes of the disks and then find the difference between them. The volume of a disk can be calculated using the formula V = (π * r^2 * h) / 3, where r is the radius and h is the height. Since the disks are 2-dimensional, we can assume their height is negligible.

For the disk with a diameter of 12 cm (radius = 6 cm), the volume is (π * 6^2 * 0) / 3 = 0 cm³.

For the disk with a diameter of 24 cm (radius = 12 cm), the volume is (π * 12^2 * 0) / 3 = 144π cm³.

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

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